The Hobart woman sacked by Cricket Australia for using social media to criticise the Tasmanian Government's policies on abortion services has reached a confidential out-of-court settlement with the sporting body.

A joint statement, issued by a Cricket Australia spokesman and Ms Williamson, said the matter had been resolved.

"Following ongoing discussions, Cricket Australia, Cricket Tasmania and Angela Williamson have been able to reach a mutually satisfactory resolution of the matter," the spokesman said.

Her legal team planned to sue Cricket Australia in the Federal Court, arguing the sporting body had breached the Fair Work Act by sacking her for expressing a political opinion.

The out-of-court resolution means the parties have avoided what would have been a costly legal battle in the Federal Court.

It also means the allegations against Premier Will Hodgman and Health Minister Michael Ferguson raised in Ms Williamson's statement of claim will not be dragged through the courts and media again, which would have created further headaches for the Tasmanian Government.

Ms Williamson had alleged Cricket Tasmania chief executive Nick Cummins told her Mr Hodgman had lied to her, and the Premier and Health Minister expressed disappointment in her behaviour before the Cricket Tasmania board decided her position was untenable.